株式会社極東書店トップ ＞ 商品一覧 ＞ Analysis in Banach Spaces : Volume I: Martingales and Littlewood-Paley Theory. Softcover reprint of the original 1st ed. 2016.
商品詳細
Analysis in Banach Spaces : Volume I: Martingales and Littlewood-Paley Theory. Softcover reprint of the original 1st ed. 2016.
・ISBN 978-3-319-83961-5 paper EUR 179.99
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| 著者・編者 | Hytoenen, Tuomas / van Neerven, Jan / Veraar, Mark / Weis, Lutz, |
|---|---|
| シリーズ | Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics |
| 出版社 | (Springer International Publishing AG, SZ) |
| 出版年月 | 2018 |
| ページ数 | 614 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-3056＞ |
解説
The present volume develops the theory of integration in Banach spaces, martingales and UMD spaces, and culminates in a treatment of the Hilbert transform, Littlewood-Paley theory and the vector-valued Mihlin multiplier theorem.
Over the past fifteen years, motivated by regularity problems in evolution equations, there has been tremendous progress in the analysis of Banach space-valued functions and processes.
The contents of this extensive and powerful toolbox have been mostly scattered around in research papers and lecture notes. Collecting this diverse body of material into a unified and accessible presentation fills a gap in the existing literature. The principal audience that we have in mind consists of researchers who need and use Analysis in Banach Spaces as a tool for studying problems in partial differential equations, harmonic analysis, and stochastic analysis. Self-contained and offering complete proofs, this work is accessible to graduate students and researchers with a background in functional analysis or related areas.